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Vikentia [17]
3 years ago
13

Find the measure of ∠C if ∠A = 5 2 x + 30 ∠B = 7 2 x + 40 ∠C = 9 2 x + 10 ∠D = 5 2 x + 20

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0
What is the shape? I think you have to know that to find the answer.
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If
arlik [135]

Given:

In a right angle triangle θ is an acute angle and \tan\theta =\dfrac{3}{5}.

To find:

The value of \cos \theta.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

We have,

\tan\theta =\dfrac{3}{5}

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

Hypotenuse=\sqrt{Perpendicular^2+base^2}

Hypotenuse=\sqrt{(3x)^2+(5x)^2}

Hypotenuse=\sqrt{9x^2+25x^2}

Hypotenuse=\sqrt{34x^2}

Hypotenuse=x\sqrt{34}

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos \theta=\dfrac{5x}{x\sqrt{34}}

\cos \theta=\dfrac{5}{\sqrt{34}}

Therefore, the value of \cos \theta is \dfrac{5}{\sqrt{34}}.

8 0
2 years ago
Kelly is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for
soldier1979 [14.2K]

Answer:

the materials to make the cards:)

Step-by-step explanation:

4 0
3 years ago
2+3+7+34+7000+12242534
sashaice [31]

Answer:

The answer is 12249580

Step-by-step explanation:

add all the numbers:)

4 0
3 years ago
Read 2 more answers
HURRY PLEASE!! I’ll mark you as brainliest!!<br><br> Solve the system: 3x + y = 10 and -4x - 2y = 2
BaLLatris [955]

Answer:

uld you like to ask?

10th

Maths

Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

Solve: 3x + 4y = 10,2x - 2y...

MATHS

Asked on December 27, 2019 byShweta Rudravaram

Solve: 3x+4y=10,2x−2y=2 by the method of elimination.

EASY

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Study later

ANSWER

3x+4y=10 …………..(1)

2x−2y=2 (or) x−y=1 …………(2)

(1) ⇒(3x+4y=10)1

(2) ⇒(x−y=1)3

                     _____________________

                                3x+4y=10

                                3x−3y=3

                      _____________________

                                    7y=7

∴y=1

Put y=1 in (1) we get 3x+4×1=10

3x=10−4=6

∴x=36=2

Hence x=2,y=1.

7 0
3 years ago
3 liters is equivalent to<br> _____ aOpints
victus00 [196]

Answer:

3 liters is equivalent to 12,6803 aopints

8 0
3 years ago
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